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Finding the Fourth Proportional to 8,259.24, 12,378.06 and 7,159.08

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Solution

The fourth proportional to 8,259.24, 12,378.06 and 7,159.08 is: 10,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.24 : 12,378.06 = 7,159.08 : x
  2. Step 2: Convert to fraction form
    8,259.24/12,378.06 = 7,159.08/x
  3. Step 3: Cross multiply
    8,259.24x = 12,378.06 × 7,159.08
  4. Step 4: Simplify right side
    8,259.24x = 88,615,521.78
  5. Step 5: Solve for x
    x = 88,615,521.78/8,259.24
  6. Step 6: Final answer
    x = 10,729.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.